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Finding the Third Proportional to 57,111,690 and 85,794,138

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Solution

The third proportional to 57,111,690 and 85,794,138 is: 128,881,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111,690 : 85,794,138 = 85,794,138 : x
  2. Step 2: Convert to fraction form
    57,111,690/85,794,138 = 85,794,138/x
  3. Step 3: Cross multiply
    57,111,690x = 85,794,138 × 85,794,138
  4. Step 4: Simplify right side
    57,111,690x = 7,360,634,115,163,044
  5. Step 5: Solve for x
    x = 7,360,634,115,163,044/57,111,690
  6. Step 6: Final answer
    x = 128,881,392.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.